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If the average (arithmetic mean) of n and 11 is equal to 2n,

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GMAT Club Legend
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If the average (arithmetic mean) of n and 11 is equal to 2n, [#permalink] New post 25 Aug 2018, 15:25
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If the average (arithmetic mean) of n and 11 is equal to 2n, what is the average of n and \(\frac{13}{3}\)?

(A) 4
(B) 8
(C) 11
(D) 14
(E) 19
[Reveal] Spoiler: OA

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Re: If the average (arithmetic mean) of n and 11 is equal to 2n, [#permalink] New post 02 Sep 2018, 21:33
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From question,

\(\frac{n+11}{2} = 2n\)
or, \(n + 11 = 4n\)
solve for n to get, \(n = \frac{11}{3}\)

we are told to get the average of n and 13/3 which means we are required to find the average of 11/3 and 13/3
\(\frac{11}{3} + \frac{13}{3} = \frac{24}{3} = 8\)
therefore, average = 8/2 = 4
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Re: If the average (arithmetic mean) of n and 11 is equal to 2n, [#permalink] New post 04 Sep 2018, 18:42
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((n+11) / 2) = 2n
==> n = 11/3

The question - what is equally between 11/3 and 13/3? Logically, it is 12/3 = 4
Re: If the average (arithmetic mean) of n and 11 is equal to 2n,   [#permalink] 04 Sep 2018, 18:42
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If the average (arithmetic mean) of n and 11 is equal to 2n,

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